anonymous
  • anonymous
help!?!?!?!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\log _{3}27\]
cwrw238
  • cwrw238
this means 3 ^x = 27 x = value of the log
anonymous
  • anonymous
?

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anonymous
  • anonymous
x=3?
cwrw238
  • cwrw238
3 ^ 3 = 27 right?
cwrw238
  • cwrw238
yes
anonymous
  • anonymous
ok :)
cwrw238
  • cwrw238
the definition of a log is the exponent whci takes the base to the given number
anonymous
  • anonymous
wait then whats \[\log _{2} 32\]
cwrw238
  • cwrw238
eg 10^2 = 100 so log (10) of 100 = 2
cwrw238
  • cwrw238
what power must 2 be taken to in order to get 32s
cwrw238
  • cwrw238
* 32?
anonymous
  • anonymous
umm 5?
cwrw238
  • cwrw238
right
cwrw238
  • cwrw238
are you getting the idea?
anonymous
  • anonymous
kinnda lol i think what would \[\log _{3} 18 \] bee cuz i cant get it
cwrw238
  • cwrw238
here 2 ^x = 18 where x = required log now this cant solved by inspection as the other 2 could so you preceed as follows: ln 2^x = ln 18 where ln is natural log or log to base e by laws of logs x ln 2 = ln 18 x = ln 18 / ln 2 which you can do with your calculator
anonymous
  • anonymous
its 3 tho
cwrw238
  • cwrw238
oh - r us sure its log2 18 not log2 8?
cwrw238
  • cwrw238
because 2^3 = 8
anonymous
  • anonymous
nope log3 18
cwrw238
  • cwrw238
log to base 3 of 18
anonymous
  • anonymous
k
cwrw238
  • cwrw238
gotta go katie

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